\(L^{2}\)-invariants of finite aspherical CW-complexes

DOI10.1007/s00229-008-0246-zzbMath1163.57016arXiv0805.4150OpenAlexW2041011341MaRDI QIDQ1014806

Christian Wegner

Publication date: 29 April 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4150

zbMATH Keywords

localization\(L^2\)-torsionNovikov-Shubin invariantsfinite classifying spaces of amenable groups

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Homology and cohomology theories in algebraic topology (55N99)

Related Items (6)

Approximating \(L^2\)-invariants and homology growth ⋮ The \(L^2\)-torsion polytope of amenable groups ⋮ The Bieri-Neumann-Strebel invariants via Newton polytopes ⋮ \(L^{2}\)-invariants of nonuniform lattices in semisimple Lie groups ⋮ Weighted L²-invariants and applications to knot theory ⋮ Entropy, determinants, and $L^2$-torsion

Cites Work

• Volume and bounded cohomology
• Hilbert modules and modules over finite von Neumann algebras and applications to \(L^ 2\)-invariants
• $L^2$-determinant class and approximation of $L^2$-Betti numbers
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